Noun
A singular statement that states the existence of its subject.
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The statement Jesus exists is a singular existential statement, because it is a singular statement and it states the existence of its subject.
In Popperian epistemology, a statement that contains the equivalent of an existential quantifier and one or more proper names.
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More examples (1)
The statement In 1697, during the expedition of Dutch explorer Willem de Vlamingh, there were black swans on the Swan River in Australia is a singular existential statement, while There are black swans is not.